82100271 has 24 divisors (see below), whose sum is σ = 124862976. Its totient is φ = 47584240.

The previous prime is 82100267. The next prime is 82100279. The reversal of 82100271 is 17200128.

It is not a de Polignac number, because 82100271 - 2² = 82100267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82100279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15106 + ... + 19808.

It is an arithmetic number, because the mean of its divisors is an integer number (5202624).

Almost surely, 2^82100271 is an apocalyptic number.

82100271 is a deficient number, since it is larger than the sum of its proper divisors (42762705).

82100271 is a wasteful number, since it uses less digits than its factorization.

82100271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 82100271 is about 9060.9199864031. The cubic root of 82100271 is about 434.6251599834.

Adding to 82100271 its reverse (17200128), we get a palindrome (99300399).

The spelling of 82100271 in words is "eighty-two million, one hundred thousand, two hundred seventy-one".